22385952 has 72 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 7067520.

The previous prime is 22385947. The next prime is 22385953. The reversal of 22385952 is 25958322.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22385952² = 1002261693892608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22385953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3427 + ... + 7517.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 2^22385952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

22385952 is an abundant number, since it is smaller than the sum of its proper divisors (44641008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22385952 is a wasteful number, since it uses less digits than its factorization.

22385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4115 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 22385952 is about 4731.3795028512. The cubic root of 22385952 is about 281.8330081185.

The spelling of 22385952 in words is "twenty-two million, three hundred eighty-five thousand, nine hundred fifty-two".